What is the Least Common Multiple of 22732 and 22750?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 22732 and 22750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22732 and 22750, than apply into the LCM equation.

GCF(22732,22750) = 2
LCM(22732,22750) = ( 22732 × 22750) / 2
LCM(22732,22750) = 517153000 / 2
LCM(22732,22750) = 258576500

Least Common Multiple (LCM) of 22732 and 22750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22732 and 22750. First we will calculate the prime factors of 22732 and 22750.

Prime Factorization of 22732

Prime Factorization of 22750

Now multiplying the highest exponent prime factors to calculate the LCM of 22732 and 22750.

LCM(22732,22750) = 2² × 5683¹ × 5³ × 7¹ × 13¹
LCM(22732,22750) = 258576500